Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use a...
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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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Series: | Journal of Chemistry |
Online Access: | http://dx.doi.org/10.1155/2021/1078792 |
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author | Peng Xu Muhammad Numan Aamra Nawaz Saad Ihsan Butt Adnan Aslam Asfand Fahad |
author_facet | Peng Xu Muhammad Numan Aamra Nawaz Saad Ihsan Butt Adnan Aslam Asfand Fahad |
author_sort | Peng Xu |
collection | DOAJ |
description | The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies. In this paper, we will compute the Hosoya polynomial for multiwheel graph and uniform subdivision of multiwheel graph. Furthermore, we will derive two well-known topological indices for the abovementioned graphs, first Weiner index, and second hyper-Wiener index. |
format | Article |
id | doaj-art-ee83399f277942b3b82cd986c58b52ed |
institution | Kabale University |
issn | 2090-9071 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Chemistry |
spelling | doaj-art-ee83399f277942b3b82cd986c58b52ed2025-02-03T01:08:48ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/1078792Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision GraphPeng Xu0Muhammad Numan1Aamra Nawaz2Saad Ihsan Butt3Adnan Aslam4Asfand Fahad5Institute of Computational Science and TechnologyDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Natural Sciences and HumanitiesDepartment of MathematicsThe determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies. In this paper, we will compute the Hosoya polynomial for multiwheel graph and uniform subdivision of multiwheel graph. Furthermore, we will derive two well-known topological indices for the abovementioned graphs, first Weiner index, and second hyper-Wiener index.http://dx.doi.org/10.1155/2021/1078792 |
spellingShingle | Peng Xu Muhammad Numan Aamra Nawaz Saad Ihsan Butt Adnan Aslam Asfand Fahad Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph Journal of Chemistry |
title | Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph |
title_full | Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph |
title_fullStr | Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph |
title_full_unstemmed | Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph |
title_short | Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph |
title_sort | computing the hosoya polynomial of m th level wheel and its subdivision graph |
url | http://dx.doi.org/10.1155/2021/1078792 |
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